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Generating Random Regular Graphs Quickly

Published online by Cambridge University Press:  01 July 1999

A. STEGER
Affiliation:
Institut für Informatik, Technische Universität München, D-80290 München, Germany (e-mail: steger@informatik.tu-muenchen.de)
N. C. WORMALD
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC 3052, Australia (e-mail: nick@ms.unimelb.edu.au)

Abstract

We present a practical algorithm for generating random regular graphs. For all d growing as a small power of n, the d-regular graphs on n vertices are generated approximately uniformly at random, in the sense that all d-regular graphs on n vertices have in the limit the same probability as n → ∞. The expected runtime for these ds is [Oscr ](nd2).

Type
Research Article
Copyright
1999 Cambridge University Press

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